2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115006This paper aims to study the q-analogue of the Sturm Liouville problem and to give an asymptotic behaviour at infinity for its solution '. Additionally, we establish an asymptotic expansion of the q-Bessel function $j_α$ for $α>-{1/2}. We are not in situation to claim that our results are new but they have the advantage to show that the method used by Agranovich and Marchenko remain true.16 pagesMathematical Physics33D60, 26D15, 33D05, 33D15, 33D90text